论文标题
sobolev的不平等现象，具有渐近非负曲率的歧管
Sobolev Inequalities In Manifolds With Asymptotically Nonnegative Curvature
论文作者
论文摘要
在布伦德尔（Brendle）最近的一项工作中，使用ABP方法，我们在完整的riemannian歧管中建立了一些尖锐的Sobolev和Isoperimetric不平等现象，并具有渐近非阴性曲率的完整歧管。这些不平等现象概括了布伦德（Brendle）在具有非负曲率的完整riemannian歧管的情况下给出的那些不平等。
Using the ABP-method as in a recent work by Brendle, we establish some sharp Sobolev and isoperimetric inequalities for compact domains and submanifolds in a complete Riemannian manifold with asymptotically nonnegative curvature. These inequalities generalize those given by Brendle in the case of complete Riemannian manifolds with nonnegative curvature.
